STRESS EXPONENTS OF ASYMPTOTIC SOLUTIONS AT THE NOTCH TIP IN ANISOTROPIC POWER-LAW MATERIAL UNDER ANTIPLANE SHEAR

The asymptotic stress field around a notch tip in an anisotropic power law material subject to antiplane shear is investigated. An anisotrop ic yield criterion and a flow rule are used to derive the anisotropic constitutive relation for such materials. Two problems of different no tch surface boundary conditions are considered for remote antiplane sh ear loading. The stress exponents up to the first five terms of asympt otic solutions are determined through a hodograph transformation and n umerical method. The effects of notch angle and material anisotropy on the stress exponents near the notch tip are discussed.